Solve 100div(-2)^2-(-2)^2div(-2/3)

$$100 \div ( - 2 ) ^ { 2 } - ( - 2 ) ^ { 2 } \div ( - \frac { 2 } { 3 } )$$

Evaluate

$$31$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

$$\frac{100}{4}-\frac{\left(-2\right)^{2}}{-\frac{2}{3}}$$

Divide 100 by 4 to get 25.

$$25-\frac{\left(-2\right)^{2}}{-\frac{2}{3}}$$

Calculate -2 to the power of 2 and get 4.

$$25-\frac{4}{-\frac{2}{3}}$$

Divide 4 by -\frac{2}{3} by multiplying 4 by the reciprocal of -\frac{2}{3}.

$$25-4\left(-\frac{3}{2}\right)$$

Express 4\left(-\frac{3}{2}\right) as a single fraction.

$$25-\frac{4\left(-3\right)}{2}$$

Multiply 4 and -3 to get -12.

$$25-\frac{-12}{2}$$

Divide -12 by 2 to get -6.

$$25-\left(-6\right)$$

The opposite of -6 is 6.

$$25+6$$

Add 25 and 6 to get 31.

$$31$$

Factor

$$31$$